Cuscuta-Galileon braneworlds

We investigate braneworlds modeled by topological solutions that arise from the so-called Cuscuta-Galileon model. develop a first order framework and illustrate our procedure with scalar field having well-known hyperbolic tangent profile. find conditions must be imposed to parameters of model in have connecting minima potential, brane constrained interpolate Minkowski anti de Sitter geometries. also where only interpolates geometry. In both cases, gravity sector is stable against small fluctuations metric.